Find the number of points where f(x) = ...

Find the number of points where ` f(x) = [sin x + cos x] , x in [0,2 pi]` is not continous . ([.] denotes the greatest integer function ).

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The correct Answer is:

6 points, `x=(pi)/(2),(3pi)/(4),pi(3pi)/(2),(7pi)/(4),2pi`.

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